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Finding the Fourth Proportional to 78,114.87, 107,798.35 and 42,304.77

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Solution

The fourth proportional to 78,114.87, 107,798.35 and 42,304.77 is: 58,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,114.87 : 107,798.35 = 42,304.77 : x
  2. Step 2: Convert to fraction form
    78,114.87/107,798.35 = 42,304.77/x
  3. Step 3: Cross multiply
    78,114.87x = 107,798.35 × 42,304.77
  4. Step 4: Simplify right side
    78,114.87x = 4,560,383,652.61
  5. Step 5: Solve for x
    x = 4,560,383,652.61/78,114.87
  6. Step 6: Final answer
    x = 58,380.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.